Special linear transformations are matrices with determinant equal to 1.
What additional properties do such transformations have compared to "regular" linear transformations?
2026-04-06 11:11:57.1775473917
Special linear transformations
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For example, for $A\in SL(2,\mathbb{C})$ one has the property $$ A+A^{-1}=\mathrm{Tr}\,A\cdot \mathbf{1}_2$$ which is often useful, and also $\mathrm{Tr}\,A=\mathrm{Tr}\,A^{-1}$.